X-ray diffraction scattering by particles of a dispersed phase with a spatially ordered distribution in a crystal

X-ray diffraction scattering by precipitates (particles of a disperse phase) placed in the crystal in sites of a simple cubic lattice has been considered in the assumption that the precipitates have a cubic lattice of the same type as that of the matrix but differing from the matrix in that they have an ordered structure with a structure amplitude that is the same for all the particles. The scattering by such an ensemble of particles leads to the formation of satellite reflections which are located in the sites of a microlattice that is reciprocal to the macrolattice formed by the precipitates. The satellites are grouped in the vicinity of reciprocal-lattice (RL) points of the elastically deformed precipitate and have peaked intensity distributions that reflect the shape and dimensions of the crystal itself. One of the group of satellite sites of a given reflection from precipitates, which is taken to be reference, coincides with the point of the RL which corresponds to the average lattice parameter of a crystal with precipitates.